There was an Olympiad question of evaluating the sum arccot(2) + arccot(3) by geometrical approach. My issue is how can you use only one figure to evaluate sum of infinite series of angles arccot(3) + arccot(7) + arccot(13)+….and show that ...
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Janaka RodrigoLevel 2
According to the teachers guide of combined mathematics we have perfectly elastic impacts when e = 1 with no loss of kinetic energy in the system and inelastic impacts when e = 0 . According to the ...
Janaka RodrigoLevel 2
උසස් පෙළ , විශේෂයෙන්ම ගණිතය විෂයේදී අනන්තය බොහෝ අවස්ථාවල සම්බන්ධ වෙනවා ,සා.පෙ.ගණිතය හා උ.පෙ.ගණිතය හදාරන ළමුන් අතර අනන්තය කියන සංකල්පය ගැන තියෙන අවබෝධය අතර වෙනසක් තියෙනවද? මම උසස් පෙළ ඉගෙන ගන්න කාලේ දී සාමාන්ය පෙළට වඩා දෙයක් අනන්තය ගැන අහලා ...
There is a way to describe simple harmonic motion as a linear motion which can be obtained by projecting circular motion on to diameter of the circle ( that is actually a part of the lesson of combined mathematics). What ...
Janaka RodrigoLevel 2
One of the main applications of method of contradiction in our syllabus is proving irrationality of square root 2. But it also done without mentioning the most important infinite decent method which was used by Sir Andrew ...
Janaka RodrigoLevel 2
What is the most appropriate way of classifying real numbers and why π can not be geometrically constructed on number line?
Usually we prove results related to powers of sums algebraically. How can you illustrate geometrically powers of sums basically for powers 1,2,3 ?
What are divisors, are they same as factors and are there negative factors of a given positive integer?
Janaka RodrigoLevel 2
What is the history of times table, why it is important in mathematics and what are the patterns you can find in times table ?
Janaka RodrigoLevel 2
What is a paradox in mathematics, why they are important in mathematics?